AGAA Unit 2 Plan (Geometric and Algebraic Connections)

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Accelerated Geometry B/ Advanced Algebra

Unit 2: Geometric and Algebraic Connections Name ________________________________

Essential Question: How do I apply what I have learned about coordinate geometry to a real-world situation?

DAY STANDARD TOPIC LESSON ASSIGNMENT CREDIT

1

2

3

4

5

6

8

9

MGSE9-12.G.GPE.1

MGSE9-12.G.GPE.1

MGSE9-12.G.GPE.5

MGSE9-12.G.GPE.6

MGSE9-12.G.GPE.7

MGSE9-12.G.GPE.4

MGSE9-12.G.GPE.4

All Unit 2 Standards

All Unit 2 Standards

Equations of Circles

Solving Systems of Parabolas and Lines;

Solving Systems of Circles and Lines

Slopes: Parallel and Perpendicular

QUIZ on Circles, Systems, and Slopes

Perimeter/Area and Partitions

Coordinate Proofs

More Coordinate Proofs

Review Unit 2

UNIT 2 TEST

5-2

4-4 & 5-2

+

+

5-1 +

5-1 +

+ Not in our text book (see provided worksheets, etc.)

Standards for the Unit:

MGSE9-12.G.GPE.1

Derive the equation of a circle of given center and radius using the Pythagorean Theorem; complete the square to find the center and radius of a circle given by an equation

MGSE9-12.G.GPE.4

Use coordinates to prove simple geometric theorems algebraically. For example, prove or disprove that a figure defined by four given points in the coordinate plane is a rectangle; prove or disprove that the point (1, √3) lies on the circle centered at the origin and containing the point (0,2). (Focus on quadrilaterals, right triangles, and circles.)

MGSE9-12.G.GPE.5

Prove the slope criteria for parallel and perpendicular lines and use them to solve geometric problems (e.g., find the equation of a line parallel or perpendicular to a given line that passes through a given point).

MGSE9-12.G.GPE.6

Find the point on a directed line segment between two given points that partitions the segment in a given ratio.

MGSE9-12.G.GPE.7

Use coordinates to compute perimeters of polygons and areas of triangles and rectangles, e.g., using the distance formula.

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